The volume of water in a dam is determined by the formula V = 27h² (3d-3h). After a rainfall, water is flowing into the dam resulting in an increase in the water level h at a rate of 0.06m/hr while the diameter d of the dam is increasing at a rate of 0.25m/hr. Determine the rate at which the volume is changing the instant when d = 20m and h = 6m. Use the Maclaurin series to expand te to four non-zero terms.
The volume of water in a dam is determined by the formula V = 27h² (3d-3h). After a rainfall, water is flowing into the dam resulting in an increase in the water level h at a rate of 0.06m/hr while the diameter d of the dam is increasing at a rate of 0.25m/hr. Determine the rate at which the volume is changing the instant when d = 20m and h = 6m. Use the Maclaurin series to expand te to four non-zero terms.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:.2 The volume of water in a dam is determined by the formula V = 27h² (3d-3h). After a
rainfall, water is flowing into the dam resulting in an increase in the water level h at a rate
of 0.06m/hr while the diameter d of the dam is increasing at a rate of 0.25m/hr. Determine
the rate at which the volume is changing the instant when d = 20m and h = 6m.
Use the Maclaurin series to expand te to four non-zero terms.
-t
.3
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